Amida Buddha is different from the historical Gautama Buddha and the futuristic Maitreya Buddha. In the Pure Land sect, adherents repeat the name of Amida, so that they will attain, after they die, Pure Land, a world which is free of sickness and where it is easier to attain Enlightenment than on Earth.
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Gautama Buddha, Amitābha Buddha, and Maitreya Buddha are different Buddha persons. Gautama was the historical Buddha. Amitābha Buddha is the Buddha of the Pure Land. And Maitreya is the Buddha of the future, who will be coming.
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Maitreya Buddha is the future Buddha who will come when Gautama Buddha's teachings have been forgotten.
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A common Western misconception is that "fat Buddha" statues depict Gautama Buddha.
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